Numerical analysis and stability of the Moore-Gibson-Thompson-Fourier model
DOI:
https://doi.org/10.33993/jnaat532-1486Abstract
This work is concerned the Moore-Gibson-Thompson-Fourier Model. Our contribution will consist in studying the numerical stability of the Moore-Gibson-Thompson-Fourier system. First we introduce a finite element approximation after the discretization, then we prove that the associated discrete energy decreases and later we establish a priori error estimates. Finally, we obtain some numerical simulations.
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